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Finding the Fourth Proportional to 312,093.16, 468,137.26 and 162,256.12

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Solution

The fourth proportional to 312,093.16, 468,137.26 and 162,256.12 is: 243,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,093.16 : 468,137.26 = 162,256.12 : x
  2. Step 2: Convert to fraction form
    312,093.16/468,137.26 = 162,256.12/x
  3. Step 3: Cross multiply
    312,093.16x = 468,137.26 × 162,256.12
  4. Step 4: Simplify right side
    312,093.16x = 75,958,135,435.03
  5. Step 5: Solve for x
    x = 75,958,135,435.03/312,093.16
  6. Step 6: Final answer
    x = 243,382.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.